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135697590 = 23257215393
BaseRepresentation
bin10000001011010…
…01010010110110
3100110100011002200
420011221102312
5234214310330
621244245330
73235260540
oct1005512266
9313304080
10135697590
116a663676
1239540846
1322161c42
1414044690
15bda6a60
hex81694b6

135697590 has 48 divisors (see below), whose sum is σ = 403217568. Its totient is φ = 31016448.

The previous prime is 135697547. The next prime is 135697603. The reversal of 135697590 is 95796531.

135697590 is a `hidden beast` number, since 1 + 3 + 56 + 9 + 7 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107067 + ... + 108326.

It is an arithmetic number, because the mean of its divisors is an integer number (8400366).

Almost surely, 2135697590 is an apocalyptic number.

135697590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135697590 is an abundant number, since it is smaller than the sum of its proper divisors (267519978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135697590 is a wasteful number, since it uses less digits than its factorization.

135697590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215413 (or 215410 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 135697590 is about 11648.9308522285. The cubic root of 135697590 is about 513.8748679734.

The spelling of 135697590 in words is "one hundred thirty-five million, six hundred ninety-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 215393 430786 646179 1076965 1292358 1507751 1938537 2153930 3015502 3230895 3877074 4523253 6461790 7538755 9046506 9692685 13569759 15077510 19385370 22616265 27139518 45232530 67848795 135697590